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Finding the Fourth Proportional to 485,124.40, 727,686.60 and 414,265.60

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Solution

The fourth proportional to 485,124.40, 727,686.60 and 414,265.60 is: 621,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,124.40 : 727,686.60 = 414,265.60 : x
  2. Step 2: Convert to fraction form
    485,124.40/727,686.60 = 414,265.60/x
  3. Step 3: Cross multiply
    485,124.40x = 727,686.60 × 414,265.60
  4. Step 4: Simplify right side
    485,124.40x = 301,455,525,960.96
  5. Step 5: Solve for x
    x = 301,455,525,960.96/485,124.40
  6. Step 6: Final answer
    x = 621,398.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.